How can you show geometrically that 3 < π < 4?

Approximating Pi was a favourite pastime of many ancient mathematicians, none more so than Archimedes. Using his polygon approximation method we can get whole number bounds of 3 and 4 for the universal constant, with only high-school level geometry.

This is the latest question in the I Love Mathematics series where I answer the questions sent in and voted for by YOU. To vote for the next question that you want answered next remember to ‘like’ my Facebook page here.

Funbers 5

As well as being a hit(?) boyband from the 90’s, five is also a number. We have five human senses, five rings in the Olympic symbol and five Platonic Solids. These are my favourite shapes and were believed by the Ancient Greeks to be the building blocks of the universe…

You can listen to all of the Funbers episodes from BBC Radio Cambridgeshire and BBC Radio Oxford here.

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